Motions in a Finite Hyperbolic Plane

Cyril W. L. Garner
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Cyril W. L. Garner: Carleton University, Department of Mathematics

A chapter in The Geometric Vein, 1981, pp 485-493 from Springer

Abstract: Abstract Let P be a finite projective plane of arbitrary odd order n, and let π be a regular polarity of P: that is, a polarity for which there exists an integer s = s(π) such that every line containing two or more absolute points of π contains s + 1 absolute points [11, p. 247J. Baer [1] has shown that the absolute points form an oval when n is odd and nonsquare, and Segre [13] has shown that every oval in a Desarguesian projective plane is a conic.

Date: 1981
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DOI: 10.1007/978-1-4612-5648-9_32

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